{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from myutils.spadeutils import *\n",
    "from myutils import *\n",
    "\n",
    "from scipy.stats import norm, laplace, cauchy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sinc_pdf(x, mean=0, sigma=1):\n",
    "    psf = (sigma*np.pi)**-0.5 * np.sinc((x-mean) / (sigma*np.pi))\n",
    "    return np.abs(psf)**2\n",
    "\n",
    "def cauchy_pdf(x, mean=0, sigma=1):\n",
    "    return cauchy(mean, sigma).pdf(x)\n",
    "\n",
    "def gen_sinc_rand(N):\n",
    "    samples = []\n",
    "    total_samples = 0\n",
    "\n",
    "    m = 3\n",
    "    proposal_sigma = 2\n",
    "\n",
    "    while total_samples < N:\n",
    "        num_needed = N - total_samples\n",
    "        x = proposal_sigma * np.random.standard_cauchy(size=num_needed)\n",
    "        u = np.random.uniform(0, 1, size=num_needed)\n",
    "\n",
    "        accepted = x[np.where(u < sinc_pdf(x) / (m * cauchy_pdf(x, sigma=proposal_sigma)))]\n",
    "        samples.append(accepted)\n",
    "        total_samples += accepted.size\n",
    "\n",
    "    return np.concatenate(samples)[:N]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "269 ms ± 1.6 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit -n 10 gen_sinc_rand(1_000_000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import py_sinc_rand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sinc_rng(loc=0, scale=1, size=1):\n",
    "    size = np.atleast_1d(size)\n",
    "    sample = py_sinc_rand.sinc_rand(loc, scale, size=np.prod(size))\n",
    "    if sample.size == 1:\n",
    "        return sample.item()\n",
    "    else:\n",
    "        return sample.reshape(*size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "166 ms ± 868 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit -n 10 sinc_rng(size=1_000_000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 495x375 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 348,
       "width": 457
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = sinc_rng(size=1_000_000)\n",
    "plot(np.linspace(-10, 10, 300), SincPSF().pdf(np.linspace(-10, 10, 300)))\n",
    "hist(data[(data<10) & (data>-10)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 495x375 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 348,
       "width": 449
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.random.normal(size=1_000_000)\n",
    "plot(np.linspace(-10, 10, 300), GausPSF().pdf(np.linspace(-10, 10, 300)))\n",
    "hist(data[(data<10) & (data>-10)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
